Answer:
120 miles
Step-by-step explanation:
Distance = 150 miles
train 1 = 60 mph
train 2 = 90 mph
directions of trains = towards each other
Time to meet = 150/(60+90) = 150 miles / 150 mph = 1 hour
Speed of fly = 120 mph
Since fly has been flying for one hour, it travelled 120 miles.
![\left[ \begin{matrix} 2 & a \\ -1 & -2 \end{matrix} \right] + \left[ \begin{matrix} b & 4 \\ -2 & 1 \end{matrix} \right]](https://tex.z-dn.net/?f=%5Cleft%5B%20%5Cbegin%7Bmatrix%7D%202%20%26%20a%20%5C%5C%20-1%20%26%20-2%20%5Cend%7Bmatrix%7D%20%5Cright%5D%20%2B%20%5Cleft%5B%20%5Cbegin%7Bmatrix%7D%20b%20%26%204%20%5C%5C%20-2%20%26%201%20%5Cend%7Bmatrix%7D%20%5Cright%5D)
This addition of matrices can be combined into one matrix.
To add matrices, add the corresponding components of each matrix.
After adding, we'll have the following
![\left[ \begin{matrix} 2+b & a+4 \\ -3 & -1 \end{matrix} \right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%20%5Cbegin%7Bmatrix%7D%202%2Bb%20%26%20a%2B4%20%5C%5C%20-3%20%26%20-1%20%5Cend%7Bmatrix%7D%20%5Cright%5D%20)
This matrix should be equal to the matrix on the right-hand side of the equation. This means that each corresponding component of this matrix and the other matrix should be equivalent.
This means that
![2+b=1](https://tex.z-dn.net/?f=2%2Bb%3D1)
AND
![a+4=0](https://tex.z-dn.net/?f=a%2B4%3D0)
Solving these one-step equations will give the values of a = -4 and b = -1. That's answer choice D.
Point.
<h3>Further explanation</h3>
- The angle is determined by three points, we call it A, B, C, with A ≠ C and B ≠ C.
- We express an angle with three points and a symbol ∠. The middle point represents constantly vertex. We can, besides, give angle names only with vertices. For example, based on the accompanying image, the angle can be symbolized as ∠BAC, or ∠CAB, or ∠A.
<u>Note: </u>
This is one of the classic problems of Euclidean geometry.
Undefined terms are the basic figure that is undefined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane. These key terms cannot be mathematically defined using other known words.
- A point represents a location and has no dimension (size). It is marked with a capital letter and a dot.
- A line represents an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
- A plane represents a planar surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.
<h3>Learn more </h3>
- What are three collinear points on a line? brainly.com/question/5795008
- Undefined terms are implemented to define a ray brainly.com/question/1087090
- Definition of the line segment brainly.com/question/909890
Keywords: the undefined term, is needed to define, an angle, line, point, line, plane, ray, endpoint, acute, obtuse, right, straight, Euclidean geometry
Answer: D: 23.99
Step-by-step explanation:
What number is 0.01 less than 24?
The number 0.01 less than 24 is equal to 24 - 0.01;
24 - 0.01 = 23.99
D: 23.99